If $$ C=x^{2}+8 x+3 $$ and $$ B=x-8 $$, find an expression that equals $$ 3 C+B $$ in standard form. Answer Attempt 1 out of 2

Question

UpStudy AI · Accepted Answer

To find an expression that equals $$ 3C + B $$ in standard form, follow these steps:

1. **Given Expressions:**
   $$
   C = x^{2} + 8x + 3
   $$
   $$
   B = x - 8
   $$

2. **Multiply $$ C $$ by 3:**
   $$
   3C = 3(x^{2} + 8x + 3) = 3x^{2} + 24x + 9
   $$

3. **Add $$ B $$ to $$ 3C $$:**
   $$
   3C + B = 3x^{2} + 24x + 9 + (x - 8)
   $$

4. **Combine like terms:**
   $$
   3x^{2} + 24x + x + 9 - 8 = 3x^{2} + 25x + 1
   $$

5. **Final Expression in Standard Form:**
   $$
   3C + B = 3x^{2} + 25x + 1
   $$

**Answer:** $$ 3C + B = 3x^{2} + 25x + 1 $$
$$ 3C + B = 3x^{2} + 25x + 1 $$

If \( C=x^{2}+8 x+3 \) and \( B=x-8 \), find an expression that equals \( 3 C+B \) in standard form. Answer Attempt 1 out of 2